摘要
本文研究了函数的Dini导数与函数单调性的关系,并在函数不一定可微的情形下给出了广义中值定理,拓广了古典的微分中值定理.
In this paper, the relations of Dini derivatives and monotonous properties are given. The mean value theorems are given when functions are not necessary to be differentiable. These results extend the classical differential mean value theorems to the nondifferentiable cases.